Solve frac{2sqrt{2}sqrt{13}frac{5sqrt{26}}{25}}{2}

$$\frac{ 2 \sqrt{ 2 } \sqrt{ 13 } \frac{ 5 \sqrt{ 26 } }{ 25 } }{ 2 }$$

Evaluate

$$\frac{26}{5}=5.2$$

Solution Steps

Cancel out 2 and 2.

$$\sqrt{2}\sqrt{13}\times \frac{5\sqrt{26}}{25}$$

To multiply \sqrt{2} and \sqrt{13}, multiply the numbers under the square root.

$$\sqrt{26}\times \frac{5\sqrt{26}}{25}$$

Express \sqrt{2}\times \frac{5\sqrt{26}}{25} as a single fraction.

$$\frac{\sqrt{2}\times 5\sqrt{26}}{25}$$

Factor 26=2\times 13. Rewrite the square root of the product \sqrt{2\times 13} as the product of square roots \sqrt{2}\sqrt{13}.

$$\frac{\sqrt{2}\times 5\sqrt{2}\sqrt{13}}{25}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{2\times 5\sqrt{13}}{25}$$

Multiply 2 and 5 to get 10.

$$\frac{10\sqrt{13}}{25}$$

Divide 10\sqrt{13} by 25 to get \frac{2}{5}\sqrt{13}.

$$\frac{2}{5}\sqrt{13}$$

Factor

$$\frac{2 \cdot 13}{5} = 5\frac{1}{5} = 5.2$$